Decimal in the thousandths place
20.998 in Words
20.998 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
20.998 in words is twenty point nine nine eight.
20.998 Place-Value Breakdown
The digits 2 and 0 form the whole-number part, while 9 in the tenth place, 9 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 2 | tens | 20 |
| Whole part | 0 | ones | 0 |
| Decimal part | 9 | tenth | 9/10 |
| Decimal part | 9 | hundredth | 9/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 20.998?
20.998 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 20.998
20.998 = 20 + 9/10 + 9/100 + 8/1000
20.998 = 20 + 998/1000
20.998 = 20 499/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 20.998 Simplifies to 10499/500
20.998 = 20998/1000
The greatest common divisor of 20998 and 1000 is 2.
20998 ÷ 2 = 10499
1000 ÷ 2 = 500
Therefore, 20998/1000 = 10499/500.
As a mixed fraction, the value is 20 499/500.
20.998 as a Percentage
To convert 20.998 to a percentage, multiply it by 100.
20.998 × 100 = 2099.8
Therefore, 20.998 = 2099.8%.
Decimals Equivalent to 20.998
20.998 = 20.9980 = 20.99800
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 20.998 | thousandths | 20998/1000 | 10499/500 |
| 20.9980 | ten-thousandths | 209980/10000 | 10499/500 |
| 20.99800 | hundred-thousandths | 2099800/100000 | 10499/500 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 20 with the fractional part 998/1000. In place-value words, "and" marks that boundary.
20.998 on a Number Line
20.998 lies between 20 and 21. It is 0.002 below 21 and 0.998 above 20.
20.998 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 2.0998 | two point zero nine nine eight | two and nine hundred ninety-eight ten-thousandths | 10499/5000 | 209.98% | ten times smaller than 20.998 |
| 20.998 | twenty point nine nine eight | twenty and nine hundred ninety-eight thousandths | 10499/500 | 2099.8% | current value |
| 20.9980 | twenty point nine nine eight zero | twenty and nine thousand nine hundred eighty ten-thousandths | 10499/500 | 2099.8% | same numerical value, written to the ten-thousandths place |
| 209.98 | two hundred nine point nine eight | two hundred nine and ninety-eight hundredths | 10499/50 | 20998% | ten times larger than 20.998 |
Quick Practice
How is 20.998 read digit by digit?
Twenty point nine nine eight.
What is the place-value word form of 20.998?
Twenty and nine hundred ninety-eight thousandths.
What fraction is 20.998 in lowest terms?
10499/500.
What percentage is equal to 20.998?
2099.8%.
What is 20.998 as a mixed fraction?
20 499/500.
Between which whole numbers does 20.998 lie?
Between 20 and 21.
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Frequently Asked Questions
How do you write 20.998 in words?
20.998 in words is twenty point nine nine eight.
Why is 20.998 called twenty and nine hundred ninety-eight thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as twenty and nine hundred ninety-eight thousandths.
What fraction is 20.998?
20.998 is 20998/1000 exactly and 10499/500 in lowest terms.
Can 20998/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 10499/500.
What percentage is 20.998?
20.998 is equal to 2099.8%.
Is 20.998 the same as 20.9980?
Yes. 20.998 and 20.9980 have the same numerical value. However, 20.998 is written to the thousandths place, while 20.9980 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 20.998 larger than 2.0998?
Yes. 20.998 is ten times as large as 2.0998.
What type of decimal is 20.998?
20.998 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents twenty and nine hundred ninety-eight thousandths.